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Finding the Fourth Proportional to 347.96, 521.40 and 283.10

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Solution

The fourth proportional to 347.96, 521.40 and 283.10 is: 424.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.96 : 521.40 = 283.10 : x
  2. Step 2: Convert to fraction form
    347.96/521.40 = 283.10/x
  3. Step 3: Cross multiply
    347.96x = 521.40 × 283.10
  4. Step 4: Simplify right side
    347.96x = 147,608.34
  5. Step 5: Solve for x
    x = 147,608.34/347.96
  6. Step 6: Final answer
    x = 424.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.